Difference between revisions of "Rational functions"

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Line 26: Line 26:
 
         p[0] = board.createElement('point', [-1,2], {style:6});
 
         p[0] = board.createElement('point', [-1,2], {style:6});
 
         p[1] = board.createElement('point', [3,-1], {style:6});
 
         p[1] = board.createElement('point', [3,-1], {style:6});
         var f = board.lagrangePolyomial(p);
+
         var f = board.lagrangePolynomial(p);
 
         graph = board.createElement('curve', ['x', f, 'x', -10, 10], {curveType:'graph'});
 
         graph = board.createElement('curve', ['x', f, 'x', -10, 10], {curveType:'graph'});
  
Line 41: Line 41:
 
         q[0] = board2.createElement('point', [-1,2], {style:6});
 
         q[0] = board2.createElement('point', [-1,2], {style:6});
 
         q[1] = board2.createElement('point', [3,-1], {style:6});
 
         q[1] = board2.createElement('point', [3,-1], {style:6});
         var f2 = board2.lagrangePolyomial(p);
+
         var f2 = board2.lagrangePolynomial(p);
 
         graph2 = board2.createElement('curve', ['x', f2, 'x', -10, 10], {curveType:'graph'});
 
         graph2 = board2.createElement('curve', ['x', f2, 'x', -10, 10], {curveType:'graph'});
  

Revision as of 20:08, 4 February 2009

Polynomial [math]f[/math]:

Polynomial [math]g[/math]:

Rational function [math]\frac{f}{g}[/math]:

References

The underlying JavaScript source code

        board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25});
        // Axes
        b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
        b1axisy = board.createElement('axis', [[0,0], [0,1]], {});

        var p = [];
        var q = [];
        p[0] = board.createElement('point', [-1,2], {style:6});
        p[1] = board.createElement('point', [3,-1], {style:6});
        var f = board.lagrangePolyomial(p);
        graph = board.createElement('curve', ['x', f, 'x', -10, 10], {curveType:'graph'});

        function addPoint1() {
          p.push(board.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
          board.update();
        }

        board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25});
        // Axes
        b1axisx2 = board2.createElement('axis', [[0,0], [1,0]], {});
        b1axisy2 = board2.createElement('axis', [[0,0], [0,1]], {});

        q[0] = board2.createElement('point', [-1,2], {style:6});
        q[1] = board2.createElement('point', [3,-1], {style:6});
        var f2 = board2.lagrangePolyomial(p);
        graph2 = board2.createElement('curve', ['x', f2, 'x', -10, 10], {curveType:'graph'});

        function addPoint2() {
          q.push(board2.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
          board2.update();
        }

        board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25});
        // Axes
        b1axisx3 = board3.createElement('axis', [[0,0], [1,0]], {});
        b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});
        graph3 = board3.createElement('curve', ['x', function(x){return f(x)/f2(x);}, 'x', -10, 10], {curveType:'graph',strokeColor:'#ff0000'});